275=-.5x^2+25x

Simple and best practice solution for 275=-.5x^2+25x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 275=-.5x^2+25x equation: 


Simplifying
275 = -0.5x2 + 25x

Reorder the terms:
275 = 25x + -0.5x2

Solving
275 = 25x + -0.5x2

Solving for variable 'x'.

Reorder the terms:
275 + -25x + 0.5x2 = 25x + -25x + -0.5x2 + 0.5x2

Combine like terms: 25x + -25x = 0
275 + -25x + 0.5x2 = 0 + -0.5x2 + 0.5x2
275 + -25x + 0.5x2 = -0.5x2 + 0.5x2

Combine like terms: -0.5x2 + 0.5x2 = 0.0
275 + -25x + 0.5x2 = 0.0

Begin completing the square.  Divide all terms by
0.5 the coefficient of the squared term: 

Divide each side by '0.5'.
550 + -50x + x2 = 0

Move the constant term to the right:

Add '-550' to each side of the equation.
550 + -50x + -550 + x2 = 0 + -550

Reorder the terms:
550 + -550 + -50x + x2 = 0 + -550

Combine like terms: 550 + -550 = 0
0 + -50x + x2 = 0 + -550
-50x + x2 = 0 + -550

Combine like terms: 0 + -550 = -550
-50x + x2 = -550

The x term is -50x.  Take half its coefficient (-25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
-50x + 625 + x2 = -550 + 625

Reorder the terms:
625 + -50x + x2 = -550 + 625

Combine like terms: -550 + 625 = 75
625 + -50x + x2 = 75

Factor a perfect square on the left side:
(x + -25)(x + -25) = 75

Calculate the square root of the right side: 8.660254038

Break this problem into two subproblems by setting 
(x + -25) equal to 8.660254038 and -8.660254038.


Subproblem 1
x + -25 = 8.660254038

Simplifying
x + -25 = 8.660254038

Reorder the terms:
-25 + x = 8.660254038

Solving
-25 + x = 8.660254038

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + x = 8.660254038 + 25

Combine like terms: -25 + 25 = 0
0 + x = 8.660254038 + 25
x = 8.660254038 + 25

Combine like terms: 8.660254038 + 25 = 33.660254038
x = 33.660254038

Simplifying
x = 33.660254038


Subproblem 2
x + -25 = -8.660254038

Simplifying
x + -25 = -8.660254038

Reorder the terms:
-25 + x = -8.660254038

Solving
-25 + x = -8.660254038

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + x = -8.660254038 + 25

Combine like terms: -25 + 25 = 0
0 + x = -8.660254038 + 25
x = -8.660254038 + 25

Combine like terms: -8.660254038 + 25 = 16.339745962
x = 16.339745962

Simplifying
x = 16.339745962


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {33.660254038, 16.339745962}

See similar equations:

| -7x+12=37 | | y+2y=5 | | -7x+12=32 | | 2-3lnx=0 | | 36=6x-12 | | sin35=4/ | | 12-x-4y=0 | | 175=-0.5x^2+25x | | 3n=(-12) | | x+x^9-(54)=0 | | 0.5(X-7)=48 | | 4a+5b+3c=13 | | x^2-5x/2=42 | | c-8=(-8) | | 1/3z-2=2-7/3z | | 4/16=x/14 | | -4.9x^2+0.01x+0.1=0 | | 4.9x^2+0.01x+0.1=0 | | (3+2i)+(5-i)+6i=0 | | (x+4)(y+4)=300+156 | | (x-2)=x(3) | | (5x-10)+(3x+20)=180 | | -7-4/2 | | 2y-4+2y=12 | | 10=-8cosx | | 12b+17=97 | | XY=300 | | 4z+1=z+7 | | 1+2i=0 | | 7(x+11)=25 | | (106x^2)+6x-102=0 | | (X+4)(Y+4)=456 |

Equations solver categories